Can you take legal actin against a 13 yer old for punching an adult in the eye?

The child can be charged as a juvenile delinquent and face punishment for the act.

The victim may also be able to file a civil suit, seeking monetary damages. Depending on the state rules, the child's parents may be included as a party to the suit, and liable for the damages (as a child of that age likely does not have the means to pay damages such as medical bills.)